In the modular representation theory of finite groups
representation-infinite tame blocks occur only
over fields of characteristic 2, and their defect groups are dihedral,
semidihedral, or (generalized) quaternion 2-groups.
Such blocks were studied in [1]} in a more general setting: this introduced
and investigated algebras of dihedral,
semidihedral and quaternion type were introduced
and investigated, over algebraically closed fields of
arbitrary characteristic.
These algebras are quite restrictive, for example the number
of simple modules can be at most 3, and one would like to know
how these fit into a wider context.
